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sweet [91]
3 years ago
5

What is the solution to 4log4(x+8)=4^2

Mathematics
2 answers:
nexus9112 [7]3 years ago
5 0

Answer:

The answer is 8.

Step-by-step explanation:

Just took the test and it was correct.

natima [27]3 years ago
4 0

Answer:

x=248

Step-by-step explanation:

4log4(x+8)=4^2

Divide each side by 4

4/4log4(x+8)=4^2 /4

log4(x+8)=4

Using logb(x) = a  yields   b^a =x

4^4 = x+8

256 = x+8

Subtract 8 from each side

256-8 = x+8-8

248 =x

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For the functions f(x)=2x^2+3x+9 and g(x)=−3x+10 find (f⋅g)(x) and (f⋅g)(1)
pashok25 [27]

Step-by-step explanation:

f(x)=2x²+3x+9

g(x) = - 3x + 10

In order to find (f⋅g)(1) first find (f⋅g)(x)

To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)

We have

(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9

Expand

(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9

= 18x² - 120x + 200 - 9x + 30 + 9

Group like terms

(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9

(f⋅g)(x) = 18x² - 129x + 239

To find (f⋅g)(1) substitute 1 into (f⋅g)(x)

That's

(f⋅g)(1) = 18(1)² - 129(1) + 239

= 18 - 129 + 239

We have the final answer as

<h3>(f⋅g)(1) = 128</h3>

Hope this helps you

3 0
3 years ago
Which statements about the number properties are true? Choose all answers that are correct. A. The associative property applies
IrinaK [193]
The statements about the number properties are true are the below: A. The associative property applies to multiplication. C. The associative property applies to addition. D. The commutative property applies to multiplication. The commutative cannot be apply to subtraction because of the changing the request of 6-2-1 to 2-6-1 is not a similar thing. <span>
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6 0
3 years ago
After an earthquake, 1/4 of all claims were paid within a month. Of the remaining claims that had not yet been paid, 4/7
eduard

Answer:

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Step-by-step explanation:

7/28

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- You need to find common denominator. (use 28)

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4 0
3 years ago
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Kobotan [32]

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Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.

Hence, the possible ways of combinations are listed below:

18 = 3 + 3 + 3 + 3 + 2 + 2 + 2                        (1)

18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2                  (2)

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3 0
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5 0
3 years ago
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